You need a lot of time for trading especially in the beginning phase because you have to study a lot. Maybe you can start with a training account and not directly with real invests. But I think its possible also to do it with a job e.g. in the morning / evening / weekend.
Doing trading along with some permanent kind of job is quite a difficult thing but there is nothing in this possible which you cannot do.
If you can manage your time in a way that you can do both the things simultaneously, then this is going to be the best thing which you can do for having a good amount of earning. It will help in living a very comfortable life and you will be able to earn a very huge amount of money.